Mode:90.9 7) 6.5.2 A random variable is normally distributed. It has a mean of 245 and a standard deviation of 21. a) If you take a sample of size 10, can you say what the shape of the distribution for the sample mean is? Why? b) For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean. c) For a sample of size 10, find the probability that the sample mean is more than 241. d) If you take a sample of size 35, can you say what the shape of the distribution of the sample mean is? Why? e) For a sample of size 35, state the mean of the sample mean and the standard deviation of the sample mean. f) For a sample of size 35, find the probability that the sample mean is more than 241. g) Compare your answers in part c and f. Why is one smaller than the other? 8) 6.5.6 The mean cholesterol levels of women age 45-59 in Ghana, Nigeria, and Seychelles is 5.1 mmol/I and the standard